We give an algorithmic approach for transforming any spanning tree of a 2-connected graph into any other spanning tree of the graph. At each step of the transformation we obtain a spanning tree whose diameter differs from that of the previous tree by at most one. Thus if a 2-connected graphGhasaas the minimum andbas the maximum diameter of a spanning tree, then for...
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A transformation of a circuit containing voltage-controlled current sources is investigated. By the transformation a node is eliminated. Transformation formulas are derived, and a condition and a procedure for inverse transformation are given. Then the transformation is applied to element-value calculation. The inaccessible nodes in a network are eliminated one by one by the transformation and a s...
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We address a large class of nonlinear systems for which a Volterra-like input-output expansion has recently been proved to exist. In this paper it is shown for the first time that a certain associated expansion (whose terms act on functions defined on the entiret-axis) (i) exists, (ii) has certain fundamental properties involving almost periodic functions and their spectra, and (iii) is...
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The state-space versions for several Bounded-Input Bounded-Output (BIBO) stability criteria of 2-D systems are given. Several checkable sufficient conditions are also described. For the special cases whenn = 1orm = 1a criterion which is related to DeCarlo's criterion is reported. Some results on stabilizability based on the stability results are included.
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This paper describes some new active equalizers that are based on the Bode principle, but using shaping transfer functions instead of shaping immittances. It is shown that bump equalizers may be realized by circuits containing only one operational amplifier and only one variable element, with sensitivities somewhat higher than previous two-OA approaches. A low-sensitivity configuration using two o...
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Overload characteristics and noise of FDNR circuits with two operational amplifiers (OA's) but differentR - Cnetwork implementations are compared. Design criteria from prior publications are revised and extended.
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The method [2] of testing stability of discrete systems using continued fractions is investigated. A newz-domain continued fraction expansion method of the discrete reactance function is presented. Using the new method, the number of discrete reactance functions that have to be generated in order to proceed in the continued fraction expansion is reduced fromn, using the metho...
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We answer a question posed in the above footnote[1]{paper} by showing that derived high-pass slopes of up to 80 dB/decade with good phase linearity are achievable by using a truncated exponential low-pass filter alignment in a matched-delay subtractive filter. The performance of this filter is illustrated graphically. (1) T. K. Ng and M. Rothenberg, IEEE Trans. Circuits Syst., vol. CAS-29, pp. 584...
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This paper presents a novel approach to the design of filters which are suitable for eventual realization in monolithic form. The method is based on the use of sampled-data-analog signals and is related to the wave digital filter in its design techniques. Designs for a prototype sixth-order Chebyshev bandpass filter and a third-order low-pass filter, containing zeros of transmission at de and infi...
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The task of checking that the zeros of a prescribed real exponential polynomial all have negative real part arises in examining the stability of delay-differential systems. We describe new tests which are akin to the reduced order Hermite, reduced Markov, and Liénard-Chipart stability tests for ordinary real polynomials.
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A number theoretic transform (NTT) is proposed, which can efficiently be computed by using ternary modular arithmetic. The new NTT relaxes the restriction imposed on the convolution length and, as in other efficient NTT's, its computation can be performed by means of data shifts and additions. A hardware implementation of the cyclic convolution using the proposed NTT is then described.
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An adaptive system is described that tracks the peak of the spectral density function of the input signal. The system has been designed so that it can be easily realized in a single MOS integrated circuit using switched-capacitor (SC) techniques. Many characteristics, such as the transient response and the tracking of sine waves corrupted by noise, of a prototype (built from discrete components) a...
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Strays-insensitive realizations for switched-capacitor (SC) filters are presented. Here, the discrete-time transfer function is realized in the biquadratic state-space configuration implementing strays-insensitive SC biquads. Design equations that directly relate the feedback and feedforward coefficients to that of the transfer function are de'ived. Sensitivity analysis of the proposed structure i...
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